Search a number
-
+
345282048 = 293324977
BaseRepresentation
bin10100100101001…
…001011000000000
3220001201010221000
4110211021120000
51201343011143
654132332000
711361564126
oct2445113000
9801633830
10345282048
111679a2571
1297774000
13566c3907
1433bdd916
15204a5bd3
hex14949600

345282048 has 80 divisors (see below), whose sum is σ = 1022099760. Its totient is φ = 115089408.

The previous prime is 345282029. The next prime is 345282089. The reversal of 345282048 is 840282543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336 + ... + 26312.

It is an arithmetic number, because the mean of its divisors is an integer number (12776247).

Almost surely, 2345282048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511049880).

345282048 is an abundant number, since it is smaller than the sum of its proper divisors (676817712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345282048 is an equidigital number, since it uses as much as digits as its factorization.

345282048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25004 (or 24982 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 345282048 is about 18581.7665468060. The cubic root of 345282048 is about 701.5489834348.

The spelling of 345282048 in words is "three hundred forty-five million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 24977 49954 74931 99908 149862 199816 224793 299724 399632 449586 599448 674379 799264 899172 1198896 1348758 1598528 1798344 2397792 2697516 3197056 3596688 4795584 5395032 6394112 7193376 9591168 10790064 12788224 14386752 19182336 21580128 28773504 38364672 43160256 57547008 86320512 115094016 172641024 345282048